Read More
Date: 2-9-2020
![]()
Date: 22-11-2020
![]()
Date: 13-11-2019
![]() |
A Lehmer number is a number generated by a generalization of a Lucas sequence. Let and
be complex numbers with
![]() |
![]() |
![]() |
(1) |
![]() |
![]() |
![]() |
(2) |
where and
are relatively prime nonzero integers and
is not a root of unity. Then the corresponding Lehmer numbers are
![]() |
(3) |
and the companion numbers
![]() |
(4) |
REFERENCES:
Lehmer, D. H. "An Extended Theory of Lucas' Functions." Ann. Math. 31, 419-448, 1930.
Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, pp. 61 and 70, 1989.
Shorey, T. N. and Stewart, C. L. "On Divisors of Fermat, Fibonacci, Lucas and Lehmer Numbers, 2." J. London Math. Soc. 23, 17-23, 1981.
Stewart, C. L. "On Divisors of Fermat, Fibonacci, Lucas and Lehmer Numbers." Proc. London Math. Soc. 35, 425-447, 1977.
Williams, H. C. "The Primality of ." Canad. Math. Bull. 15, 585-589, 1972.
|
|
دخلت غرفة فنسيت ماذا تريد من داخلها.. خبير يفسر الحالة
|
|
|
|
|
ثورة طبية.. ابتكار أصغر جهاز لتنظيم ضربات القلب في العالم
|
|
|
|
|
سماحة السيد الصافي يؤكد ضرورة تعريف المجتمعات بأهمية مبادئ أهل البيت (عليهم السلام) في إيجاد حلول للمشاكل الاجتماعية
|
|
|